34301431424040 has 256 divisors, whose sum is σ = 112770719942400. Its totient is φ = 8277629337600.

The previous prime is 34301431424023. The next prime is 34301431424047. The reversal of 34301431424040 is 4042413410343.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 34301431423992 and 34301431424010.

It is not an unprimeable number, because it can be changed into a prime (34301431424047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1378163916 + ... + 1378188804.

It is an arithmetic number, because the mean of its divisors is an integer number (440510624775).

Almost surely, 2^{34301431424040} is an apocalyptic number.

34301431424040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34301431424040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56385359971200).

34301431424040 is an abundant number, since it is smaller than the sum of its proper divisors (78469288518360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34301431424040 is a wasteful number, since it uses less digits than its factorization.

34301431424040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29628 (or 29624 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 34301431424040 its reverse (4042413410343), we get a palindrome (38343844834383).

The spelling of 34301431424040 in words is "thirty-four trillion, three hundred one billion, four hundred thirty-one million, four hundred twenty-four thousand, forty".